{
  "id": "1106.2561",
  "version": "v1",
  "published": "2011-06-13T20:25:45.000Z",
  "updated": "2011-06-13T20:25:45.000Z",
  "title": "Characterizations of Besov and Triebel-Lizorkin Spaces on Metric Measure Spaces",
  "authors": [
    "Amiran Gogatishvili",
    "Pekka Koskela",
    "Yuan Zhou"
  ],
  "comment": "Forum Math. (to appear). 28 pages",
  "categories": [
    "math.CA",
    "math.FA"
  ],
  "abstract": "On a metric measure space satisfying the doubling property, we establish several optimal characterizations of Besov and Triebel-Lizorkin spaces, including a pointwise characterization. Moreover, we discuss their (non)triviality under a Poincar\\'e inequality.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-06-13T20:25:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E35",
      "42B35"
    ],
    "keywords": [
      "triebel-lizorkin spaces",
      "optimal characterizations",
      "poincare inequality",
      "metric measure space satisfying",
      "pointwise characterization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1106.2561G"
    }
  }
}